Antisocial behaviour

We don't have any friends or family with kids under the age of 8 and milana doesnt go to day care as I am a stay at home mom plus with the whole covid we cant go to any soft plays or anything

My moms best friend babysits a girl that is a month younger then milana so we tried letting them play together at my moms house

Its a really social and lively girl she really likes to interact with other kids but my daughter is not having it

The first time she came around she just ignored the girl and if thw firl came to close to her she started crying

We don't push her or anything just let them be

3 days later thw girl came to the house again and milana first ignored her then pushed her and then cried again

Anyone else's child behave like that? She is not that way with her older cousins at all